6801772992 has 224 divisors, whose sum is σ = 21598371840. Its totient is φ = 1848130560.

The previous prime is 6801772963. The next prime is 6801773009. The reversal of 6801772992 is 2992771086.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2456793 + ... + 2459559.

Almost surely, 2^6801772992 is an apocalyptic number.

6801772992 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6801772992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10799185920).

6801772992 is an abundant number, since it is smaller than the sum of its proper divisors (14796598848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6801772992 is a wasteful number, since it uses less digits than its factorization.

6801772992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 6801772992 is about 82472.8621547719. The cubic root of 6801772992 is about 1894.7011168287.

The spelling of 6801772992 in words is "six billion, eight hundred one million, seven hundred seventy-two thousand, nine hundred ninety-two".